Finding the Third Proportional to 213.89 and 296.16

Step by Step Solution

1. Step 1: Write the proportion equation
   213.89 : 296.16 = 296.16 : x
2. Step 2: Convert to fraction form
   213.89/296.16 = 296.16/x
3. Step 3: Cross multiply
   213.89x = 296.16 × 296.16
4. Step 4: Simplify right side
   213.89x = 87,708.52
5. Step 5: Solve for x
   x = 87,708.52/213.89
6. Step 6: Final answer
   x = 410.06